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1331020202031 = 3213397201714207
BaseRepresentation
bin10011010111100110111…
…111001000000000101111
311201020121002022222200200
4103113212333020000233
5133301412132431111
62455243502124543
7165106631021232
oct23274677100057
94636532288620
101331020202031
114735342280a3
12195b63b80753
139868c950a80
14485c92bd419
15249523c1256
hex135e6fc802f

1331020202031 has 48 divisors (see below), whose sum is σ = 2076866448384. Its totient is φ = 816563607552.

The previous prime is 1331020202027. The next prime is 1331020202089. The reversal of 1331020202031 is 1302020201331.

It is not a de Polignac number, because 1331020202031 - 22 = 1331020202027 is a prime.

It is a super-2 number, since 2×13310202020312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331020201995 and 1331020202013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331020212031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93680530 + ... + 93694736.

It is an arithmetic number, because the mean of its divisors is an integer number (43268051008).

Almost surely, 21331020202031 is an apocalyptic number.

1331020202031 is a deficient number, since it is larger than the sum of its proper divisors (745846246353).

1331020202031 is a wasteful number, since it uses less digits than its factorization.

1331020202031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16640 (or 16637 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1331020202031 its reverse (1302020201331), we get a palindrome (2633040403362).

The spelling of 1331020202031 in words is "one trillion, three hundred thirty-one billion, twenty million, two hundred two thousand, thirty-one".

Divisors: 1 3 9 13 39 117 397 1191 2017 3573 5161 6051 14207 15483 18153 26221 42621 46449 78663 127863 184691 235989 554073 800749 1662219 2402247 5640179 7206741 10409737 16920537 28655519 31229211 50761611 73322327 85966557 93687633 219966981 257899671 372521747 659900943 1117565241 3352695723 11376241043 34128723129 102386169387 147891133559 443673400677 1331020202031